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Finding the Fourth Proportional to 6,474.69, 9,715.82 and 6,064.65

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Solution

The fourth proportional to 6,474.69, 9,715.82 and 6,064.65 is: 9,100.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.69 : 9,715.82 = 6,064.65 : x
  2. Step 2: Convert to fraction form
    6,474.69/9,715.82 = 6,064.65/x
  3. Step 3: Cross multiply
    6,474.69x = 9,715.82 × 6,064.65
  4. Step 4: Simplify right side
    6,474.69x = 58,923,017.44
  5. Step 5: Solve for x
    x = 58,923,017.44/6,474.69
  6. Step 6: Final answer
    x = 9,100.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.